SOLUTION: Two numbers are in the ratio 1:5 and their sum is 54. The smaller number is a)8 b)9 c)10 d)45

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Question 698149: Two numbers are in the ratio 1:5 and their sum is 54. The smaller number is

a)8 b)9 c)10 d)45
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1) +a%2Fb+=+1%2F5+
(2) +a+%2B+b+=+54+
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(1) +5a+=+b+
Substitute (1) into (2)
(2) +a+%2B+5a+=+54+
(2) +6a+=+54+
(2) +a+=+9+
The smaller number is 9
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check:
(1) +b+=+5a+
(1) +b+=+5%2A9+
(1) +b+=+45+
and
(1) +a%2Fb+=+1%2F5+
(1) +9%2F45+=+1%2F5+
(1) +1%2F5+=+1%2F5+
OK